ANSWER and EXPLANATION
a. The first inequality given is:

To solve this, divide both sides of the inequality by 2:

To justify this, pick any number less than -2 and substitute it back into the original inequality:
Let x be -4:

As we can see, it is correct.
b. The second inequality given is:

To solve this, divide both sides by -2. The sign changes from < to > because we are dividing both sides by a negative number.
Therefore:

To justify this, pick any number greater than -2 and substitute it back into the original inequality:
Let x be -1:

As we can see, it is correct.
The only challenge with solving the second inequality (-2x < 4) is that we have to change the sign form less than (<) to greater than (>) due to the division by a negative number.